Title :
Optimal control of switched systems: new results and open problems
Author :
Xu, Xuping ; Antsaklis, Panos J.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
In optimal control problems of switched systems, we may need to find both an optimal continuous input and an optimal switching sequence since the system dynamics vary before and after every switching instant. In the paper, optimal control problems for both continuous-time and discrete-time switched systems are formulated and investigated. In particular, we regard an optimal control problem as a two stage optimization problem and discuss its solution algorithm. The dynamic programming approach is also studied. Difficulties and open problems are discussed
Keywords :
continuous time systems; discrete time systems; dynamic programming; optimal control; time-varying systems; optimal continuous input; optimal switching sequence; switched systems; system dynamics; two stage optimization problem; Circuits; Control systems; Costs; Equations; Mathematics; Optimal control; Optimization methods; Switched systems; Switches; Vehicle dynamics;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878693